State True/False:
The square root of the number 4096 by the prime factorization method will be 65.

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

True

False

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

We have to find the square root of 4096 through the prime factorization method.
Calculating the square root of 4096 using the prime factorization method:

∵ 4096 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 ∴ 4096 = 22 × 22 × 22 × 22 × 22 × 22 = 2 × 2 × 2 × 2 × 2 × 2 = 64

So, the square root of the number 4096 by the prime factorization method will be 64. Thus, the given statement is false.
Therefore, option 2 is correct.

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th